Solve the system of equations
6x+7y = 5 2x-3y =7

The solution is (2 , -1)

Step-by-step explanation:

* You have two ways to solve the system of equations

1. Elimination method:

By making the coefficients of one of the two variables equal in the 2

equations in magnitude and different in sign to eliminate it and find the

other variable

2. Substitution method:

By finding one of the two variables in terms of the other in one of the

two equations and substitute this value in the second equation

* Lets solve our system using the elimination method

∵ 6x + 7y = 5 ⇒ (1)

∵ 2x - 3y = 7 ⇒ (2)

- Multiply equation (2) by -3 to eliminate x

∵ (-3)(2x) - (-3)(3y) = (-3)(7)

∴ -6x + 9y = -21 ⇒ (3)

- Add equation (1) and (3)

∴ 7y + 9y = 5 + -21

∴ 16y = -16

- Divide each side by 16

∴ y = -1

- Substitute the value of y in equation (1)

∴ 6x + 7(-1) = 5

∴ 6x - 7 = 5

- Add 7 to both sides

∴ 6x = 12

- Divide both sides by 6

∴ x = 2

* The solution is (2 , -1)

fdvs

step-by-step explanation: vsfdvsfvd

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05